Title: Fuzzy interior and fuzzy closure of fuzzy set with extended definition of fuzzy set

Authors: Bhimraj Basumatary

Addresses: Department of Mathematical Sciences, Bodoland University, Kokrajhar, BTC, Assam, 783370, India

Abstract: The main purpose of this work is to construct a basic concept of fuzzy topology. In this article, we will try to give definition of fuzzy topology, fuzzy open set, fuzzy closed set, fuzzy interior of a fuzzy set, fuzzy closure of a fuzzy set in fuzzy topology and also, we will try to prove some theorems on fuzzy interior and fuzzy closure of a fuzzy topology with the help of extended definition of fuzzy sets and complement of a fuzzy sets.

Keywords: fuzzy membership function; fuzzy reference function; fuzzy membership value; fuzzy open sets; fuzzy closed sets; fuzzy interior; fuzzy closure.

DOI: 10.1504/IJCSYSE.2015.077054

International Journal of Computational Systems Engineering, 2015 Vol.2 No.2, pp.94 - 97

Received: 22 Aug 2015
Accepted: 31 Oct 2015
Published online: 20 Jun 2016 *

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